1BC hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1BC to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).

The four steps used to convert 1BC from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1BC by 16⁰, multiply the second to last digit in 1BC by 16¹, multiply the third to last digit in 1BC by 16², multiply the fourth to last digit in 1BC by 16³, and so on, until all the digits are used.

C × 16⁰ = 12
B × 16¹ = 176
1 × 16² = 256

Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.

Step 2)
Next, we add up all the products we got from Step 1, like this:

12 + 176 + 256 = 444

Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.

444 ÷ 2 = 222 with 0 remainder
222 ÷ 2 = 111 with 0 remainder
111 ÷ 2 = 55 with 1 remainder
55 ÷ 2 = 27 with 1 remainder
27 ÷ 2 = 13 with 1 remainder
13 ÷ 2 = 6 with 1 remainder
6 ÷ 2 = 3 with 0 remainder
3 ÷ 2 = 1 with 1 remainder
1 ÷ 2 = 0 with 1 remainder

Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to 1BC hexadecimal to binary:

1BC hexadecimal = 110111100 binary

Hexadecimal to Binary Converter
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1BD hexadecimal to binary
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